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Finding the Third Proportional to 57,912 and 125,787

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Solution

The third proportional to 57,912 and 125,787 is: 273,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,912 : 125,787 = 125,787 : x
  2. Step 2: Convert to fraction form
    57,912/125,787 = 125,787/x
  3. Step 3: Cross multiply
    57,912x = 125,787 × 125,787
  4. Step 4: Simplify right side
    57,912x = 15,822,369,369
  5. Step 5: Solve for x
    x = 15,822,369,369/57,912
  6. Step 6: Final answer
    x = 273,214.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.